If you've had LOC/GS or RA problems then you can't rely on the BITE tests, so pilot reports are reqd. A request for a Standard landing/Practice autoland means that they are aware a wobbly might be thrown at them.
There are guidelines how far left/right of the CL you are allowed (only guidelines though), but if in doubt downgrade and send it round again. If the pilots aren't happy they'll soon let you know.